The influence of curvature on heat and mass transfer across interfaces
is often significant in nanoscopic systems. An important example is the
initial growth phase of bubbles and droplets in nucleation processes,
where they have radii of only a few nanometers. Curvature can be
consistently handled within the framework of nonequilibrium
thermodynamics by expanding the interface transfer coefficients in the
total and Gaussian curvatures. We formulate the coefficients in this
expansion analytically and calculate them to second order along the
vapor-liquid coexistence line of the Lennard-Jones fluid, which models
argon to a good accuracy. To achieve this, square-gradient theory is
combined with nonequilibrium molecular dynamics. We discuss how the
coefficients depend on the temperature and the truncation value of the
interaction potential. The presented coefficients can be used directly
to describe heat and mass transfer across interfaces of bubbles/droplets
in the Lennard-Jones fluid with cylindrical, spherical, or complex
geometries.